On the Cardinality of Unique Range Sets with Weight One
Sign Up to like & getrecommendations! Published in 2020 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-020-01849-z
Abstract: UDC 517.9 Two meromorphic functions $f$ and $g$ are said to share the set $S\subset \mathbb{C}\cup\{\infty\}$ with weight $l\in\mathbb{N}\cup\{0\}\cup\{\infty\},$ if $E_{f}(S,l)=E_{g}(S,l),$ where $$$E_{f}(S,l)=\bigcup_{a \in S} \big \{(z,t) \in \mathbb{C}\times\mathbb{N} \bigm| f(z)=a \; \text{with multiplicity} \;p… read more here.
Keywords: weight one; cardinality unique; unique range; sets weight ... See more keywords
On the eigenvariety of Hilbert modular forms at classical parallel weight one points with dihedral projective image
Sign Up to like & getrecommendations! Published in 2017 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7064
Abstract: We show that the p-adic eigenvariety constructed by AndreattaIovita-Pilloni, parameterizing cuspidal Hilbert modular eigenforms defined over a totally real field F , is smooth at certain classical parallel weight one points which are regular at… read more here.
Keywords: parallel weight; weight one; eigenvariety; one points ... See more keywords